| 摘要: |
| 微分方程解的存在唯一性证明一直以来都是教学的难点，运用不同方法，从不同角度讨论一阶微分方程解的存在唯一性，以期能有更好的方法证明解的存在唯一性. |
| 关键词: 常微分方程 初值问题 解的存在唯一 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Proof of Sole Existence and Uniqueness Theorem of Solution to Ordinary Differential Equations |
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NIE Dong ming， LI Hai xia ， LIU Jia bao
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| Abstract: |
| The proof of existence and uniqueness of solutions to differential equations has been the difficulty of teaching. This paper uses different methods to prove the existence and uniqueness of solutions to first-order differential equations to find a better way to prove the existence and uniqueness of solution. |
| Key words: ordinary differential equations initial value problem existence and uniqueness of solution |
